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» Pseudorandom Generators for Combinatorial Checkerboards
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ECCC
1998
80views more  ECCC 1998»
13 years 9 months ago
Extracting All the Randomness from a Weakly Random Source
In this paper, we give two explicit constructions of extractors, both of which work for a source of any min-entropy on strings of length n. The rst extracts any constant fraction ...
Salil P. Vadhan
APPROX
2005
Springer
79views Algorithms» more  APPROX 2005»
14 years 3 months ago
Reconstructive Dispersers and Hitting Set Generators
Abstract. We give a generic construction of an optimal hitting set generator (HSG) from any good “reconstructive” disperser. Past constructions of optimal HSGs have been based ...
Christopher Umans
ECCC
2010
95views more  ECCC 2010»
13 years 9 months ago
Bounded-depth circuits cannot sample good codes
We study a variant of the classical circuit-lower-bound problems: proving lower bounds for sampling distributions given random bits. We prove a lower bound of 1 - 1/n(1) on the st...
Shachar Lovett, Emanuele Viola
FOCS
2008
IEEE
14 years 4 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow